• Pixel-art sticker of Cherrium, personifying Cherenkov Radiation, with the caption “Faster Than Light In Water.”

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Cherrium

Cherenkov Radiation Physics

\[\cos\theta = \frac{1}{n\beta}\]
Regular price $4.99 USD
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Meet Cherrium, a particle who outruns light in water and leaves a blue glow. Light slows to c/1.33 in water, and a faster charged particle sheds a cone of light, like a sonic boom, angled about 41° near light speed. Reactor pools glow this way. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Cherrium, a particle who breaks the light-speed limit in water and leaves a blue glow behind.

Nothing can beat the speed of light in a vacuum. But light slows down in water, to c/n, where n ≈ 1.33. A fast charged particle can outrun that slower light. As it does, it disturbs the water around it and sends out a cone of light, much as a jet makes a sonic boom.

The cone's angle obeys cosθ = 1/(nβ), where β = v/c. For a particle moving at nearly c in water, cosθ ≈ 0.75, so θ ≈ 41°.

The glow only starts once β is bigger than 1/n ≈ 0.75. For an electron that means a kinetic energy of about 0.26 MeV. Faster particles make wider cones, and the light is strongest at short wavelengths, which is why it looks blue.

The glow lights up the water around nuclear reactor cores. Giant underground tanks use it to spot neutrinos.

Equations

\[\cos\theta = \frac{1}{n\beta}\]
Symbols
SymbolMeaningUnit
\(\theta\) angle of the light cone from the particle's path \(\mathrm{rad}\)
\(n\) refractive index of the medium \(\mathrm{dimensionless}\)
\(\beta\) particle speed as a fraction of c \(\mathrm{dimensionless}\)